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3 years ago

I really need help with these 2 questions

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

The question 6 is 2,150 meters question 7 is length 10w+64 meters
Width 25w+49 meters

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

4 years ago

6x + 2y + x +12 - 5 + 4y

Anon25 [30]

$7x + 6y + 7$

8 0

3 years ago

What is: k–66≤ – 84 in one-step inequalities?

kykrilka [37]

Answer:

$k\le \:-18$

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: $k-66+66\le \:-84+66$

Finally, you simplify and get: $k\le \:-18$

Hope this helped!

8 0

2 years ago

Given that h(x)=x³-2, evaluate h(4) pls help me!

ahrayia [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

The problem want's to find h(4)

$\hookrightarrow \text{4 in this case is the x's value}\\$

$\hookrightarrow\text{This means that we must plug in x into x's position in h(x)'s equation}$

$h(4) = (4)^3-2=64-2=62$

Answer: h(4) = 62

Hope that helps!

#LearnwithBrainly

6 0

1 year ago

Drinks at the fair cost 2.50. Use and equation to represent the relationship between the number is drinks bought and the cost

never [62]

Answer: 2.50x

Step-by-step explanation: The variable x refers to how many drinks are bought if you buy 5 drinks you plug in 5 to multiply by 2.50. I hope this helps! :D

3 0

3 years ago

Read 2 more answers